Open Access
Research Article
Pointwise Weakly Mixing Property and Li-Yorke Sensitivity in Nonautonomous Dynamical Systems
*Mona EffatiCorresponding authormona.effati@mail.um.ac.irDepartment of Pure Mathematics, Ferdowsi University of MashhadMashhad, IranView full profile → , Alireza Zamani Bahabadizamany@um.ac.irDepartment of Pure Mathematics, Ferdowsi University of MashhadMashhad, IranView full profile → , Bahman Honaryhonary@um.ac.irDepartment of Pure Mathematics, Ferdowsi University of MashhadMashhad, IranView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 22 Oct 2019
- Accepted:
- 27 Dec 2019
- Published Online:
- 02 Jan 2020
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- 1726037X.2020.1779972
- Pages:
- 71–80
Abstract
In this paper we present novel concept of pointwise weakly mixing property (PWMP) for autonomous (ADS) and nonautonomous (NDS) dynamical systems. We show that if NDS (X, f1,∞) has PWMP, then proximal cells are dense in X and in addition NDS is sensitive. Furthermore we conclude that NDS (X, f1,∞) is Li-Yorke sensitive and also densely Li-Yorke chaotic with pointwise weakly mixing property.
Keywords
Subject Classifications
37B5554H20
References
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